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Title: A field theory approach to the evolution of canonical helicity and energy

  1. William E. Boeing Department of Aeronautics and Astronautics, University of Washington, Seattle, Washington 98195, USA
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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; Journal Issue: 7; Related Information: CHORUS Timestamp: 2018-03-09 11:36:56; Journal ID: ISSN 1070-664X
American Institute of Physics
Country of Publication:
United States

Citation Formats

You, S. A field theory approach to the evolution of canonical helicity and energy. United States: N. p., 2016. Web. doi:10.1063/1.4956465.
You, S. A field theory approach to the evolution of canonical helicity and energy. United States. doi:10.1063/1.4956465.
You, S. Mon . "A field theory approach to the evolution of canonical helicity and energy". United States. doi:10.1063/1.4956465.
title = {A field theory approach to the evolution of canonical helicity and energy},
author = {You, S.},
abstractNote = {},
doi = {10.1063/1.4956465},
journal = {Physics of Plasmas},
number = 7,
volume = 23,
place = {United States},
year = {Mon Jul 11 00:00:00 EDT 2016},
month = {Mon Jul 11 00:00:00 EDT 2016}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1063/1.4956465

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Cited by: 2works
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  • A redefinition of the Lagrangian of a multi-particle system in fields reformulates the single-particle, kinetic, and fluid equations governing fluid and plasma dynamics as a single set of generalized Maxwell's equations and Ohm's law for canonical force-fields. The Lagrangian includes new terms representing the coupling between the motion of particle distributions, between distributions and electromagnetic fields, with relativistic contributions. The formulation shows that the concepts of self-organization and canonical helicity transport are applicable across single-particle, kinetic, and fluid regimes, at classical and relativistic scales. The theory gives the basis for comparing canonical helicity change to energy change in general systems.more » For example, in a fixed, isolated system subject to non-conservative forces, a species' canonical helicity changes less than total energy only if gradients in density or distribution function are shallow.« less
  • The analysis of the axiomatic structure of quantum field theory establishes what is called the synthetic approach. The translation in time is completely defined by its transformation function; it defines also canonical variables. The hamiltonian is discussed at a later stage in order to establish the correspondence between this approach and the conventional one. An application is made to analyze KristensenMoller's theory of a nonlocal field. Its field variables are shown to be noncanonical; two field operators referring to two different points at the same time are not independent from each other when the distance between the two points ismore » of the order of the extension of the form factor; however, this fact does not disturb the calculation of the S matrix. The situation is clearly understood when the KristensenMoller field operators are compared with the corresponding canonical variables.« less
  • Dark energy must cluster in order to be consistent with the equivalence principle. The background evolution can be effectively modeled by either a scalar field or by a barotropic fluid. The fluid model can be used to emulate perturbations in a scalar field model of dark energy, though this model breaks down at large scales. In this paper we study evolution of dark energy perturbations in canonical scalar field models: the classes of thawing and freezing models. The dark energy equation of state evolves differently in these classes. In freezing models, the equation of state deviates from that of amore » cosmological constant at early times. For thawing models, the dark energy equation of state remains near that of the cosmological constant at early times and begins to deviate from it only at late times. Since the dark energy equation of state evolves differently in these classes, the dark energy perturbations too evolve differently. In freezing models, since the equation of state deviates from that of a cosmological constant at early times, there is a significant difference in evolution of matter perturbations from those in the cosmological constant model. In comparison, matter perturbations in thawing models differ from the cosmological constant only at late times. This difference provides an additional handle to distinguish between these classes of models and this difference should manifest itself in the integrated Sachs-Wolfe effect.« less
  • An alternative approach to the first-order canonical formulation of gravitation is developed. The vierbein e/sup mua/ and the spin connection mua/b are treated as independent but coequal field variables. There is no partial integration of the action prior to proceeding with canonical formulation in order to rearrange the noncyclic canonical variables. The spin connection remains noncyclic, and this seems to reduce the level of calculational complexity usually encountered in the canonical formulation of gravitation theory. As a result the approach is well suited for application to extended theories, such as R+R/sup 2/ theories and extended theories of supergravity. Themore » method is applied to the Einstein-Cartan-Sciama-Kibble (ECSK) theory of gravity. The Hamiltonian is obtained directly from the action following Dirac's procedure, and the consistency analysis is performed. The generators of general coordinate transformations and local Lorentz transformations, which act on both the vierbein and spin connection, arise naturally from the Lagrangian itself.« less